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1110001112020 = 2251710132323853
BaseRepresentation
bin10000001001110001001…
…110001101001111010100
310221010002212220220021001
4100021301032031033110
5121141240241041040
62205532200033044
7143123601530353
oct20116116151724
93833085826231
101110001112020
11398826765529
1215b161162784
1380898a94938
143ba1d83999a
151dd189cd59a
hex1027138d3d4

1110001112020 has 48 divisors (see below), whose sum is σ = 2492557029648. Its totient is φ = 413745305600.

The previous prime is 1110001111997. The next prime is 1110001112041. The reversal of 1110001112020 is 202111000111.

It can be written as a sum of positive squares in 8 ways, for example, as 51728043844 + 1058273068176 = 227438^2 + 1028724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110001111988 and 1110001112006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16127587 + ... + 16196266.

It is an arithmetic number, because the mean of its divisors is an integer number (51928271451).

Almost surely, 21110001112020 is an apocalyptic number.

1110001112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110001112020 is an abundant number, since it is smaller than the sum of its proper divisors (1382555917628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110001112020 is a wasteful number, since it uses less digits than its factorization.

1110001112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32323980 (or 32323978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110001112020 its reverse (202111000111), we get a palindrome (1312112112131).

The spelling of 1110001112020 in words is "one trillion, one hundred ten billion, one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 32323853 64647706 129295412 161619265 323238530 549505501 646477060 1099011002 2198022004 2747527505 3264709153 5495055010 6529418306 10990110020 13058836612 16323545765 32647091530 55500055601 65294183060 111000111202 222000222404 277500278005 555000556010 1110001112020